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Finding the Fourth Proportional to 542,030.30, 813,234.12 and 242,542.52

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Solution

The fourth proportional to 542,030.30, 813,234.12 and 242,542.52 is: 363,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,030.30 : 813,234.12 = 242,542.52 : x
  2. Step 2: Convert to fraction form
    542,030.30/813,234.12 = 242,542.52/x
  3. Step 3: Cross multiply
    542,030.30x = 813,234.12 × 242,542.52
  4. Step 4: Simplify right side
    542,030.30x = 197,243,852,814.78
  5. Step 5: Solve for x
    x = 197,243,852,814.78/542,030.30
  6. Step 6: Final answer
    x = 363,898.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.